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THE ONE-HOLE TO 2-HOLE TRANSITION FOR CANTORI
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UNSPECIFIED (1994) THE ONE-HOLE TO 2-HOLE TRANSITION FOR CANTORI. PHYSICA D, 71 (4). pp. 372-389. ISSN 0167-2789.
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Abstract
The gaps in a cantorus come in orbits, which we call ''holes''. In the space of parameters (a, b) for the ''two-harmonic'' reversible area-preserving twist map family, y' = y - a/2pi sin 2pix - b/4pi sin 4pix, x' = x + y' (mod 1) , application of the idea of the anti-integrable limit establishes that there must-be one to two-hole transitions for cantori of all irrational rotation numbers. We have numerically located a curve in parameter space across which a one-hole cantorus of golden rotation number develops a second hole, and we present results on scaling behaviour of several quantities near this interesting transition.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | PHYSICA D | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0167-2789 | ||||
Official Date: | 15 March 1994 | ||||
Dates: |
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Volume: | 71 | ||||
Number: | 4 | ||||
Number of Pages: | 18 | ||||
Page Range: | pp. 372-389 | ||||
Publication Status: | Published |
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